Wesley Pegden

Wesley Pegden is a Professor in the Department of Mathematical Sciences at Carnegie Mellon University. His research focuses on Discrete Mathematics, including probabilistic combinatorics, combinatorial game theory, graph theory, and discrete geometry. His recent work centers on the Abelian sandpile, a deterministic diffusion process on the lattice that produces fractal limits. He has collaborated on studies analyzing the fractal geometry of the sandpile process and has contributed to understanding its limiting behavior through the use of integer superharmonic functions. His research has been published in prominent journals such as the Duke Mathematical Journal and the Annals of Mathematics.

Wesley Pegden is a researcher at Carnegie Mellon University specializing in Combinatorics, Probability, Abelian Sandpile, and Discrete Mathematics. His work explores the convergence and structure of Abelian sandpile models, as well as probabilistic methods in combinatorics. Pegden has contributed to the analysis of Markov chains, algorithmic local lemmas, and the study of random binary matrices. His research also includes applications in epidemiology, such as modeling age-targeted mitigation strategies for COVID-19, and combinatorial game theory, including Walker-breaker games. Additionally, he investigates properties of random graphs, polytopes, and Euclidean functionals, emphasizing the interplay between randomness and structure in discrete settings.